Direct Summand of Serial Modules

Authors

  • Alhousseynou BA Cheikh Anta Diop University
  • Mankagna A. Diompy
  • Andre Souleye Diabang

DOI:

https://doi.org/10.29020/nybg.ejpam.v17i1.4973

Keywords:

Uniserial, serial, local, direct summand

Abstract

Let R be an associative ring and M a unitary left R-module. An R-module M is said to be uniserial if its submodules are linearly ordered by inclusion. A serial module is a direct sum of uniserial modules. In this paper, we bring our modest contribution to the open problem listed in the book of Alberto Facchini "Module Theory" which states that is any direct summand of a serial module serial? The answer is yes for particular rings and R-modules. 

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Published

2024-01-31

Issue

Vol. 17 No. 1: (January 2024)

License

Copyright (c) 2024 European Journal of Pure and Applied Mathematics

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How to Cite

Direct Summand of Serial Modules. (2024). European Journal of Pure and Applied Mathematics, 17(1), 410-415. https://doi.org/10.29020/nybg.ejpam.v17i1.4973